Gamma Generalization Operators Involving Analytic Functions

Qing-Bo Cai, Bayram Çekim and Gürhan İçöz
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Qing-Bo Cai: Fujian Provincial Key Laboratory of Data-Intensive Computing, Key Laboratory of Intelligent Computing and Information Processing, School of Mathematics and Computer Science, Quanzhou Normal University, Quanzhou 362000, China
Bayram Çekim: Department of Mathematics, Faculty of Science, Gazi University, Ankara 06560, Turkey
Gürhan İçöz: Department of Mathematics, Faculty of Science, Gazi University, Ankara 06560, Turkey

Mathematics, 2021, vol. 9, issue 13, 1-8

Abstract: In the present paper, we give an operator with the help of a generalization of Boas–Buck type polynomials by means of Gamma function. We have approximation properties and moments. The rate of convergence is given by the Ditzian–Totik first order modulus of smoothness and the K -functional. Furthermore, we obtain the point-wise estimations for this operator.

Keywords: Gamma function; Szász operators; Boas–Buck type polynomials; analytic functions; rate of convergence (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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